OCR Further Pure Core 1 2021 November — Question 9

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
Year2021
SessionNovember
TopicInvariant lines and eigenvalues and vectors

9 You are given that the matrix \(\left( \begin{array} { c c } 2 & 1
- 1 & 0 \end{array} \right)\) represents a transformation T .
  1. You are given that the line with equation \(\mathrm { y } = \mathrm { kx }\) is invariant under T . Determine the value of \(k\).
  2. Determine whether the line with equation \(\mathrm { y } = \mathrm { kx }\) in part (a) is a line of invariant points under T .